Current passing through a wire as function of time is given as I(t)=0.02 t+0.01 A . The charge that will flow through the wire from t=1 s to t=2 s is

Physics · Current Electricity

JEE Main 2025 — 4 April, Morning Shift — Question 57

Current passing through a wire as function of time is given as $I(t)=0.02 t+0.01 \mathrm{~A}$ .

The charge that will flow through the wire from $t=1 \mathrm{~s}$ to $t=2 \mathrm{~s}$ is

$i(t)=0.02 t+0.01$

\begin{aligned} q & =\int i d t \\ & =\int(0.02) t d t+0.01 \int d t \\ & =\frac{0.02}{2} \times\left(2^{2}-1^{2}\right)-0.01 \times 1 \\ & =0.04 \mathrm{C} \end{aligned}

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